Given:
Total question = 10
Work on question = 6
Find-:
How man different ways can complete the exam
Explanation-:
A number of ways of choosing 6 forms 10 is:
[tex]=^{10}C_6[/tex]So, the value is:
[tex]\begin{gathered} =^nC_r \\ \\ =\frac{n!}{r!(n-r)!} \end{gathered}[/tex]The value is,
[tex]\begin{gathered} =^{10}C_6 \\ \\ =\frac{10!}{6!(10-6)!} \\ \\ =\frac{10\times9\times8\times7\times6!}{6!\times4!} \\ \\ =\frac{10\times9\times8\times7}{4\times3\times2} \\ \\ =210 \end{gathered}[/tex]So the value is 210.
